Yeah - the LSI series are amazing speakers - but you really need to find an amp that is rated minimum 200wpc into
8 ohms that also does 4 ohms. I know they're 4 ohm speakers, but most amps at a glance list 8 ohm power. If it's rated for 4 ohm play, and does at least 200wpc into 8 ohms, then it should have enough power to run plenty into 4 ohms. Does that make sense?
Also - are you looking into picking up an LSIc now? Or are you going to go with the phantom center? If you're planning on picking up a center now, then you need at least a 3 channel amp. If not, then getting a 2 channel now would work and picking up a 5 channel when you add other speakers should suffice. But i think i'd personally recommend using the same amp for your front 3 to have as close to the same sound as possible.
So going with something like...
Outlaw Monoblocks - I've heard they work great with the LSI line
Acurus 200x3 - Good 3 Channel amp - what my buddy is using for his LSI 9s and LSIc - and this is a good price at Audiogon
Adcom GFA-5503 - Another good 3 channel
Or you could, as stated earlier, go 5 channel now and take the bulk of the expense away only needing a two channel later (and not incredibly powerful at that) to take care of surrounds (though the earlier poster suggested more power to teh fronts later). For that, you could go something like...
Sunfire TGA-5200 - Would be perfect for a 5.1 LSI setup, though it looks like the sale is pending already
Rotel RMB-1095 - would also be perfect for your LSI speakers
And really - there are plenty of great options out there.
As far as your receiver - there are also a ton of great relatively inexpensive options with current HT settings and connections that will do. Just make sure they have pre-outs. I picked up a brand new Onkyo TX-SR806 for under $600. There are also offerings from many other companies in the same price range. I guess if you wanted to, there are more expensive routes to go with it - but i'm all about bang for buck and this would get you in under your 3k budget.
Good luck!