I live just 8 miles S/SW of Grayslake, use 4228 (rotator), 7775 preamp, RG6 (65 ft run) coax, 10 foot above roofline on a two story home. I also use a 91XG with a 7775 preamp, etc for Rockford & Madison reception
Depending on where in Grayslake you are relocating,(reception in Grayslake dictated by your terrain & antenna height).
- Chicago reception very stable overall with the 4228
- Milwaukee reception 4228 should be very stable (4.1, 6.1, 10.1-7,58.1), somewhat stable (12.1), intermittent (all others).
Easy explanation - there is no way to combine two omnidirectional antenna's, that will not cause undesirable effects. Removing the reflectors will not increase reception in this case, as you are relocating in a deep fringe reception area.
Best install - I'm assuming a large budget and some property/no association - install a 35 foot tower (above treeline) - a 4228 or 91XG on top pointed to Milwaukee - slight dip down - 5 ft below - 4228 or 91XG pointed to Chicago - Preamp both - RG 6 or 11 downleads to wall plate behind media PC (assuming no other TV's in home) equal coax to IR A/B switch with IR flasher installed from media PC. Use a local TV installer, familiar with Grayslake building office & codes you will need their experience.
A long time ago I installed an IR A/B coax switch for an SMATV headend in an apartment complex. You may want to use one, and program the switch code in with your timer functions to switch between both antenna's. Customer supplied unit so I do not recall the manufacturer.