Not much can be done

So generally speaking other than using the slightly shorter array on the Bits and BinaryBits types

Not much can be done regarding the unsigned int types.
Your salvation may come with this proposal should the day come microsoft/TypeScript#15480

But Typescript will probably not support base uintx types as this discussion ended 
microsoft/TypeScript#4639
essentially JS is expecting BigInt and other types may be added someday and so no extra primitives will be added until T39 adds them

on a side note this regex proposal should it get implemented would be interesting 
microsoft/TypeScript#6579

source/types.ts

@@ -1,6 +1,6 @@
 export type Bit = 0 | 1
-export type Bits = Array<Bit>
-export type BooleanBits = Array<boolean>
+export type Bits = Bit[]
+export type BooleanBits = boolean[]
 export type Byte = [Bit, Bit, Bit, Bit, Bit, Bit, Bit, Bit]
 export type Nibble = [Bit, Bit, Bit, Bit]