As anyone who has read the "introductions" forum may know, I have recently restarted playing, after a 20+ (!) year break, during which time I mostly DJed and occasionally made electronic music :0
I tried out several basses in the £150-250 price range, including Squiers, and several Yamaha and Ibanez models. Absolutely hated the Yamahas, and nearly decided not to bother trying again after playing those! But I decided to persevere, and try a wider range of instruments.
Loved the Ibanez basses; Squier Jazz was OK, but not quite my style. I wasn't so keen on the P-Bass (despite the fact that my first "real" bass as a teenager was a Squier Precision lol), so that was out, too. But all of these would be good choices in this price range, if they suit your style.
Unfortunately, I find a lot of basses quite uncomfortable tom play, and i think that's because I have quite small hands/fingers for a bloke lol. Even so, this didn't stop me from being described as "one of the fastest bassists in town" when I was younger haha.
After doing a wider search online, I came across the Washburn XB-100:
To me, this was as close to perfection as I was likely to find in my (low-budget) price range.
Retails at around £210 new, but I got mine second-hand, in near-mint condition, for £80. I play it at least an hour a day, and I absolutely love it. Not as easy to find as the basses mentioned above, but well worth a try.