A practical note:
Depending on the brand of panel you have, certain lug kits and branch circuit breakers will not be available.
Find out first - because this will eliminate and narrow down your options quick.
Many brands of panels only have maximum 100A, or possibly 125 A, lug kits available.
A few make 200A lug kits.
A 200A branch circuit breaker is also only available for some brands.
These will either be:
a. 4-pole breakers - and hence take up 4 busbar spaces. You will need 4 hot wires (2 blacks, 2 red). Assuming you only have 2 wires now, you would have to run 4 new conductors to the indoor house panel. Also, now you have parallel conductors.*
(*Code requires minimum 1/0 conductors if parallel! So, even though 2 @ #4 parallel should do it for each 100A leg (2 @100A = 200A).....you will need 1/0. See if that even fits in panel. This is just one hair smaller than the 2/0 needed for a 200A circuit)
MURRAY/SIEMENS
b. 2-pole. I think there is one brand of 200A branch breaker that spreads out horizontally across 4 spaces: 2 spaces on left and 2 spaces on right. Only works if you have a panel with 2 columns of breakers. BUT this may be a main breaker. It accepts two wires.
MURRAY /SIEMENS
c. 2-pole. One brand makes a sweet solution that takes only 2 wires (not 4). These two wires land at a right angle to a typical breaker. Vertically not horizontally. The breaker's lugs stick out to the side and are offset to accept two mongo 2/0 wires. Makes all the difference when running 2 @ 2/0 in a narrow wiring channel on the right of breakers in a panel.
SQUARE D HOM