My first Turbo system was a TurboExpress, I also wanted one since I was a kid. I actually like the old screen, I still enjoy comparing it to the Lynx, Gamegear, and even Nomad (it is very much ahead of its time). You will noticed a little bit of what appears to be burn-in at startup, this goes away though and is normal.
If you do the recap job yourself, the tolerances are close so a needle nose temperature controlled iron is almost required. I like Weller branded products. It is totally understandable to send it to a member here to work on. Both of mine needed both a screen and a sound cap and have been otherwise very solid.
I see you also have the TV tuner; for a bit of fun it has an AV in jack that can be used to hook up a modern console to use the screen as a monitor. There are a few youtube videos that show owners using it to play an xbox 360 and similar as a gag.
On both of my units, the AC adapter connection is finicky. My first TE has a new power jack and my second has an OEM jack...both operate the same with a stock TE power supply. I mostly keep to rechargeables and it has never been a problem.
Enjoy the nostalgia, the TE makes having a double or two very convenient for road trips. Raiden rocks on it!!!