Welcome to 28dl.
First off, have a read of this:
28 Days Later Survival Guide for Newbies. Congratulations! You have stumbled across the wonderful hobby of Urban Exploring and have found yourself standing at the gates of the biggest UK Exploring Forum wondering how to procede. This is quite long but if you are serious about this and want to...
www.28dayslater.co.uk
It's full of useful information.
Second - did you read any of the posts already in the bulletin board section you posted to? How about any of the 'intro' posts from people?
To more specifically answer your questions:
you don't 'need' anything specific for general 'exploring'. If your interests are to more specific things then you 'might' need equipment but for most things the requirements will be modest and there will be options depending on budget. That said, if you rely on something then buy quality as you can't easily buy a new head, arm, lung etc.
You aren't likley to get recommendations of places - you haven't given any indication of your interests or experiences (one of the reasons we encourage an intro post as the first thing people post after reading around the board a bit) plus, it's just not the way the hobby works.
This bulletin board has thousands of location reports (a real locaation is a requirement of those reports) and it has a good search facility.
Have fun and stay safe.