Never been to Woburn (actually in Flitwick) Center Parcs but I only live a few miles away. There is a circular trail around the site, it’s alright but I probably wouldn’t bother with taking a decent bike just for that. My OH has ridden around that on her hybrid.
Heading just off from there you can find bits and pieces on the Greensands Ridge but technically it’s a walkers path.
The main local riding areas are Woburn (Aspley Woods) which is a 10 min drive or a 30-ish min ride away
Map to Woburn trails
Or Chicksands which is a similar distance but in the other direction…
Map to Chicksands
Both are pretty good. Chicksands doesn’t really have any trails (technically there are but they aren’t marked and are very over grown at the moment) but it does have a great bike park.
Woburn has loads of trails one of which is marked
Longslade Trail map
by following the red topped posts. There’s also a bike park with some huge jumps and a few downhills, IMO the bike park there isn’t as good as Chicksands – but it all depends what you like doing.