You could get any of these and here's what I've gathered from discussion at indoc:
Ultra/Encore, 400 - No APU. *nuff said I'd personally choose these only if no other option was available, but the work load should be the lightest in the fleet if that means anything to you.
Excel - Busy fleet but very comfortable and nicely equipped. Not as busy as the bigger fleets because it's still considered a Class I cabin and can't recover for anything larger. Usual legs under 3 hours, max would be about 4 empty. No jumps over the pond but plenty of Caribbean and Central America.
Hawker 800 - Nice cabin but minimal baggage for both crew and pax. That's good because they don't pull up with 3 SUV's worth of crap for you to lug, but bad because what they do bring you are expected to shoehorn in somehow. Longer legs than Excel so you'll see more coast to coast but still no pond hopping.
Citation X - Whipping boy of the fleet. 14/10 days for 7 in a row is the norm. Plane is fast and sexy but speed just means it's the best for getting to a recovery and you'll be SMO/TEB/SMO a lot. Small cockpit but nice cabin. But it does have a low dispatch reliability so the plane should give you a rest fairly often. Will go to Europe or Hawaii fairly often.
Sovereign - Nice plane. Same cabin as X but cockpits much roomier. Not as fast and not quite as much range but can get into a lot of the smaller fields. It's the newest fleet and the fastest growing. I don't know if it's going cross pond much though. Of course this one will handle the 3 SUV's and the pax know it so if you have back issues, it wouldn't be my first choice.
G200 - Big, big cabin and long, long legs. Biggest plane without an FA so you'll be the man when it comes to cleaning and stocking a small apartment. Fairly fast but I've heard it is a bit of a pig in the climb. I'm sure lots of international trips on this baby. Oh and about the 3 SUV thing? Expect four or five with this one.
Falcon - I haven't heard of any new hires getting offered this one because it's a higher pay scale, but it could happen. It has a FA so that makes the SIC's job a lot easier right off the bat. Big plane with lots of capability for the extra long flights.