Out of interest...
Have you got decent shots before now? Or is this an I've-just-started-these-are-my-first-beans-it-isn't-working post?
Looking at your equipment, a part of me's thinking that you might benefit from experimenting a little with the Gaggia's set up. I don't know about the Le'Lit, but a few folks seem to've given it decent enough reviews

So. If this is new equipment.
Might be a very good idea to adjust the Gaggia's OPV downwards. I'm guessing the innards of the Gaggia De Lux are pretty similar to those of a Classic; I've adjusted the OPVs on three Classics in the last fortnight, with fairly stonking results on each. The problem being that most Gaggias are - apparently - set to produce coffee at about 10-12 bar. IME, that produces thin, bitter coffee with very little crema.
This thread links to the two sources I used for modding the Classics. Again, I'd imagine they'd be pretty good guides for a De Luxe. If not, just taking the top off of the De Luxe should give you an idea of whether or not those guides hold.
Apart from that... well... Two of the Gaggias I've seen start out flash-boiling when they're at the top of their boiler cycles (i.e. when the 'ready' light goes off, the machine's at the bottom of its cycle; when the light comes back on, it's at the top of its cycle - and the machine's at pretty much its hottest point).
If you turn on the pump, the water may hiss, spurt and gush steam out. If it's doing that, then it's too darned hot. So sort out your portafilter (i.e. fill with tamped grounds), wait til the machine's at the top of its cycle, start up the pump, run it until the hissing and gushing stops, then for a second or two more. THEN stop the pump, lock in the loaded portafilter and start the pump again. This should - hopefully - produce a cooler shot. Or - at least - a shot which hasn't been battered with a hefty steaming for the first four seconds.
Finally, this makes DIY pre-infusion a nightmare IME of Gaggias
Starting up the pump for just a few seconds with the locked pf in place takes the temperature down even more. So trying to get anything close to pre-infusion means - IME - that the Gaggia often hits the bottom of their boiler cycle during the shot, and ramp up to full temperature during the shot. Consequently, they end up pouring the start of the shot cold whilst finishing up far too hot.
I'm sure there's a way around that *sigh* but having got a Zaffiro and Elektra MCAL in the last month, I've struggled to find the time to work it out
