Here are practical, lightweight power‑bank picks for daily use (good for pockets, commuter bags, and day trips) plus quick buying tips. I focused on models sold or reviewed in Australia.

Top picks

• INIU Pocket Rocket P50 — 10,000 mAh, ~45W PD (smallest 10,000 mAh in its class; pocketable, multiple ports). Great if you want high-speed charging in a very small package. (TechRadar.com)
• Anker Nano Power Bank (10,000 mAh / 30W or the 5,000 mAh variant with built‑in cable) — compact, lightweight, very reliable — good balance of size, weight and performance for daily carry. (Anker lists lightweight Nano/10K options for travellers.) (Anker.com)
• Anker 633 Magnetic Battery / MagSafe 10K — ~10,000 mAh, magnetically attaches to iPhone (Qi2/MagSafe compatible) and supports ~20W wired PD; good if you want cordless convenience and still keep it light. (Anker.com)
• INIU (B6 / Slim 10K) — budget, very slim 10,000 mAh options available in AU (good pocket/crossbody option if you want cheapest compact 10K). (Amazon.com.au)
• Anker Prime / PowerCore small models (9.6–10K, 20–65W) — slightly heavier than ultra‑micro units but still compact and excellent build quality if you need faster charging or occasional laptop/tablet top‑ups. (Anker.com)

Why these types:

• 10,000 mAh is the sweet spot for daily use — usually 1–2 full smartphone charges while staying compact and airline‑friendly. (TechRadar.com)
• If weight/pocket fit is critical, choose 5,000–10,000 mAh models advertising ~90–250 g depending on capacity and materials. (Ultra‑compact 10K models use higher‑density cells to cut size.) (TechRadar.com)

Buying tips (short)

• Ports & power: look for USB‑C PD input/output (20–45W is enough for phones/tablets; 65W+ if you want to charge a laptop). (Anker.com)
• True capacity vs. mAh: phone charge cycles depend on phone battery size and conversion losses — a 10,000 mAh bank gives ~60–70% of its rated capacity in real‑world phone charging. (Manufacturers often list nominal mAh.) (TechRadar.com)
• Weight/size: check grams in the spec sheet; marketed “smallest 10K” models exist and vary a lot in thickness and weight. (TechRadar.com)
• Safety & certifications: buy units with reputable-brand warranties, over‑current/thermal protections and (where relevant) official safety marks. Tech reviews (and Australian retailers) often flag recalls or unsafe models. (TechRadar.com)

Travel / airline note (Australia)

• Pack power banks in carry‑on only (not checked luggage). Most airlines allow up to 100 Wh without approval; 100–160 Wh may need airline approval; >160 Wh is generally forbidden. Rules and usage-onboard can vary by carrier—check your airline before flying. (CASA.gov.au)

If you want, I can:

• shortlist 2–3 exact models available from Australian retailers (JB Hi‑Fi, Amazon AU, Kogan) with current prices and weights; or
• recommend the single best choice for your phone model (tell me model and whether you want MagSafe or wired).