If i delete my apps off my iphone and then get the update can i get them back?

If I update my iPhone 4 with the new iOS 6.1.2 update and delete some of my apps, will I be capable of restoring those apps after the update? I don't have enough room for the update right now unless I delete some things off my phone, so if I deleted some of my larger apps, would it work and i be able to get them back?

Yes, purchased apps can be restored without having to pay for them again.

Yes, as long as you use the same apple id you can either re-download them or if you backed them up on iTunes just sync them. Data from the apps like usernames and passwords will be lost but game center scores when you delete the app you will get an option asking about that. Hope I helped!