Oh ok, I was wondering if you had converted it to 87-93 style. So if your car is an LX now, the kit would definately mount right up. As far as the tape.... if you use a good quality tape (3M) and all sufaces are extremely clean, the tape works great. When I put my car together and got it painted, I used the 3M tape on my door moldings and they're not going anywhere. There is also an epoxy type glue that I've heard people talking about that you can use for mounting these types of things. But just like all epoxies, I think once you attach the pieces with it, they will be there for life! Epoxies are no joke. I would like to think that if I ever needed to remove any of them for any reason, I would be able to do so without grinding away the pieces from the body. But again, I've only heard about this glue, haven't used it myself, nor do I know much about it.
As far as fitment goes... You're really not going to get any better than Cervini's. If you get the kit from them, you can pretty much bet that it will be of great quality, will fit perfectly, and will need little to no prep work. I got the 93 Cobra rear bumper from them and it was as perfect as it could be. It needed no prep work at all, besides just cleaning it for painting.
Someone who has bought the kit you're looking at will probably jump in here soon and give you more exact details about it. It seems to be a very popular kit.
Hope this helps, good luck with it!