Hi Rich,
You may have gathered that from the names of the Vallejo paint ranges, there's a differnce between the "Model Color" and Model Air" ranges. The difference is that the Model Color paints are formulated for brush painting and the Model Air paints are intended for airbrushing.
Out of the bottle, the Model Color paints are quite thick compared to other brands of paint. The pigments are quite dense and give great coverage for brush painting, However they can be thinned for airbrushing and can give great results. The Model Air paints are considderably thinner out of the bottle and are more suited to airbrushing, but still require some thinning for best results. Both ranges can be thinned using the same medium, either Vallejo's own proprietary thinner or plain old distilled water.
The two "X-" colours you listed, X-10 and X-11 are, respectively, (X-10) Gunmetal and (X-11) Chrome Silver. These are rather generic colours and every manufacturer has these colours.
The "TS-" colours recommended for your (Jagdtiger?) kit are pretty much the basic three German camouflage colours, except that they have quoted the paint codes from their spray can (TS=Tamiya Spray) range rather than their bottled paint range (XF)
TS-1 Red Brown = XF-64 Red Brown
TS-2 Dark Green = XF-61 Dark Green
TS-3 Dark Yellow = XF-60 Dark Yellow
Note that Tamiya "Dark Yellow" is generally considered to be too dark and too "green" and is often lightened before application by mixing with a lighter colour such as XF-55 Deck Tan (for a slightly warmer effect) or white (cooler, and somewhat stark).
The Dark Yellow in Vallejo's Model Air range, 71081 is darker still (close to a khaki colour) and will definitely need some lightening (perhaps with 71075 "Sand")
Disclaimer: I have a bottle of 71081 but I haven't yet used it so I am suggesting this as what I would try, rather than what I've actually done,
Sorry, I am in Australia and Vallejo paints are thin on the ground here, I buy mine from LuckyModel in Hong Kong... However, it looks like Sprue Brothers stocks Vallejo paints, so you should be good to go with them. Sprue Brothers seems to be highly regarded for both price and customer service by many in these forums.