Bootstrapping your initial network around Kerbin with RT (Remote Tech) can be tricky until you get a few satellites up and are assured of constant ground communications.

Method #1 - Single KEO satellite

You will need a vessel capable of reaching KEO and then circularizing before being out of view of the KSC.  That means designing with a goal of about 6000 dV.  Note that this can be a very difficult launch to do with a 30 part count limit.

Each satellite should have:

(1) DP-10
(1) Comm-16
(2) DTS-M1

Power draw = 0.01 + 0.13 + (2x 0.82) = 1.78
Battery capacity of at least 2200 (~3000 is better)

Solar power required = at least three OX-STAT panels pointed at the star at all times, plan on 12 OX-STAT panels laid out in a way that 3 of them always point towards Kerbol.

For the DTS-M1 assignments:
#1 - Points at Mission Control
#2 - Points at "Active Vessel"


Launch steps:
a) Launch and go straight up to 75km
b) Deploy and activate the DTS-M1 that points to Mission Control
c) Tip over to about 10-20 degrees until 2000km altitude
d) Circularize at 2869.75km with an orbital period of 6h00m00s

If you do it properly, you should end up with a satellite that remains stationary over KSC without being too far ahead/behind.  Now you have something that the rest of the vessels can point a DTS-M1 antenna at to maintain KSC connection while they are within view of your KEO sat.

Method #2 - Multiple LKO satellites

Another option is to put up (4) satellites with Comm-16 antennas at 776km orbits.  These do not need DTS-M1 antennas, so they have lower power needs.  Six OX-STAT solar panels are enough along with 110 battery capacity.

The downside of this method is that with (4) satellites to space out at roughly 90 degree increments, it can be difficult to get setup and satellites drift over time.  But the satellites are really inexpensive and have low part counts until you unlock something better then the OX-STAT solar panels.