Across:
1 Cats and dogs (pets = STEP-) picked up (= reversal indicator) by the guards (the guards = -DAUGHTERS) – surprisingly (= anagram indicator) (STEPDAUGHTERS), it’s more than one issue from previous union (it’s more than one issue from previous union/marriage = STEPDAUGHTERS),
10 Shipping figure’s (TONNAGE) mood (TON-E) overwhelms Harry (harry/harass = -NAG-) (TONNAGE),
11 The new rich (UPSTART) prince (-P-) in Stuart (Stuart = U-START) Reformation (= anagram indicator) (UPSTART),
12 Narrow one’s search (PEER), as it is missing from Patisserie (‘as it is’ missing from ‘Patisserie’ = pere = PEER),
13 Moves (STEPS) synonymous with all sides today (‘step’ on all sides of today’s grid = STEPS),
15 On the hop (LIMP) from second class? (second ‘class’ = L-) One of the Little Rascals! (-IMP) (LIMP),
17 Agent (SPY) of tenant farmer leaves transfer payment (‘tenant farmer’ leaves ‘transfer payment’ = spy = SPY),
19 Source from abroad (IMPORT) opens intoxicating Merlot (opens ‘intoxicating Merlot’ = IM-) wine (-PORT) (IMPORT),
21 Cake (GATEAU) in front of gourmet (front of ‘gourmet’ = G-) to go with a (-A-) drink (-TEA-) that needs topping-up (topping ‘up’ = -U) (GATEAU),
22 Leading criminal (leading ‘criminal’ = C-) boss (= anagram indicator) steals (steals = -ASTLES) (CASTLES) from board members (chessboard members = CASTLES),
23 Globe (Globe = GOBLE-) cast (= anagram indicator) primarily from The (primarily from “the” = -T) (GOBLET) Glass ...? (glass = GOBLET),
25 Some understood a Kim Philby-type (some ‘understood a Kim Philby-type’ = odakim = MIKADO), in retrospect (= reversal indicator), had a powerful influence on Japan in the past (emperor of Japan = MIKADO),
27 Make up your mind (OPT) for half of those in the bar (half of ‘optics’ = OPT),
29 Opens the youthful Rieslings, ending (opens ‘the youthful Rieslings ending’ = TYRE) with an old Port (southern Lebanon port TYRE),
30 Hate leaving each other (‘hate’ leaving ‘each other’ = echor = OCHRE) in the autumnal shade (OCHRE),
31 Cohort of the characters appear loud (cohort of the characters ‘appear loud’ = EARL) in the House of Lords (EARL),
34 Wish I could help (NO CAN DO) by coming with up (= reversal indicator) old (-O) forensic evidence (DNA = -AN D-) on fleece (con = NO C-) (NO CAN DO),
35 Brutal (INHUMAN) unpleasant smell (-HUM-) near area (-A-) in public house (IN-N) (INHUMAN),
36 English (-E-) father (-PP-) consumed by con job (sting = ST-ING) and criminal (= anagram indicator) ideas (ideas = ASIDE) (STEPPING ASIDE) is leaving the post (is leaving the post/ job/position = STEPPING ASIDE).
Down:
2 Ill at ease (TENSE) at a wake? (a wake = awake = UP) (TENSE UP) You won’t relax if you do that! (TENSE UP),
3 Frappé – a refreshing bottle (‘frappé a refreshing’ bottle = PEAR) for the conference (conference PEAR),
4 Spies (AGENTS) American (A-) reporting (= homophone indicator) Lou (‘Lou’ = ‘loo’ = -GENTS) (AGENTS),
5 One of the Seven Dwarfs (GRUMPY) got out of bed on the wrong side (GRUMPY),
6 Probe (TEST) stuck in a portion of the minute steak (a portion of the ‘minute steak’ = TEST),
7 Get the message (REALISE), Earl is (Earl is = REALIS-) travelling (= anagram indicator) to Spain (-E) (REALISE),
8 Means to an end (STEPPING STONE) for Carol (S-ING) taking in retired (= reversal indicator) cat (pet = -TEP-) prowler, the lead (‘prowler’ the lead = -P-) from The Rock (STONE) (STEPPING STONE),
9 Go on a date (STEP OUT) to old (O-) French (-F) bar (bar/rule = LINE) (STEP OUT OF LINE) and cause trouble (STEP OUT OF LINE),
14 In memory of (EPITAPH) English (E-) detective (-PI-) from The Wire (-TAP-) – Hitchcock’s central character (central character of ‘Hitchcock’ = -H) (EPITAPH),
16 Is not straight (ARCED) with revolutionary (= reversal indicator) cadre (cadre = ARCED),
18 Bohemians missing home (‘Bohemians’ missing ‘home’ = bians = BASIN) in the valley (BASIN),
20 Trim (e) museum (‘Tate’ without ‘e’ = TAT) of shoddy jewellery (TAT),
21 Precious stone (GEM) dug up (= reversal indicator) in part of summertime garden (in part of ‘summertime garden’ = meg = GEM),
24 Escaping from batch processing (‘escaping’ from ‘batch processing’ = btchros = BORSCHT) in the soup kitchen (BORSCHT),
26 Frightened (ALARMED) by jockey (= anagram indicator), mare, lad? (mare lad = ALARMED),
27 Turns up (= reversal indicator) one (-I) pool (pool = pot = -TOP-) is cold (-C-) for duck (duck = O-) (OCTOPI) and a number of molluscs (OCTOPI),
28 Do one’s best (TRY-) gin (gin = -ING) cocktail (= anagram indicator) (TRYING) – it’s not easy (it’s TRYING),
32 Elite from Palestine (‘elite’ from ‘Palestine’ = pasn = SNAP) or Split (SNAP),
33 Resistance (OHMS) to old (O-) neighbour’s letters from ship (Her Majesty’s Ship = -HMS) (OHMS).