Hey Mark,
Welcome to BC!
That was your first good choice. We'll get you there.
I can add little to what has already been mentioned. Just use most of the money on the amplification. Cheap basses can be great indeed, amp and cabs less so, unless you can lift old and heavy but still great gear like Trace Elliots, Peaveys and others.
Basses: Yamaha, Ibanez (except the cheap GSR-180), Squier (Affinity if checked, Vintage Modified if checked, Classic Vibe unseen), but also some leftfielders like a Danelectro 58 Longhorn or a used Hohner B2B cricket bat are good and fun basses. Me, I recently acquired a Daisy Rock bass for the excrutiating price of 69 quid, and it's just lovely (not perfect, but good enough).
When looking at the Marketplace, you can always ask the community for opinions on specific gear that has taken your fancy. I think that that might be the effective way of doing it.
Good luck!
best,
bert
Edited for specification of cheap Ibanez