As I understand it you are looking for an analog to digital converter to convert your vinyl analog signals to digital. The devices you mention also have a DAC built it. Are you planning to use the device as both an ADC and a DAC? Many people use separate units for A/D and D/A.
One thing to determine up front, is what format you are striving for. IMO, you should have at least 24/96KHz A/D, although some will say 44 KHz is fine. You may also want DSD. It is all the rage these days, but has the big drawback that you cannot edit the format with low-priced software, except to break it into tracks.
If you are mainly looking for analog to digital converters, I would look at Tascam in the $1,000 and under range. They have handheld options for less than $100 (DR-05) up to the DA-3000 at $1,000. These devices record to a microSD card and you can then transfer the digitized file to a PC via usb. The DR-05 goes up to 24/96KHz and the DA-3000 does 24/192KHz as well as DSD. The CA-3000 uses Burr Brown PCM4202 for A/D and Burr Brown PCM1795 for D/A.
I will concur with others that there is more to A/D design than just what chip is used. That is evident in the details of the design of the DA-3000.
You did not ask about software, but Vinyl Studio is an excellent option for processing the digital file. It allows tracks to be broken out, hum/hiss to be removed, clicks to be removed and it has the added bonus that few software packages have of doing lookups of track names and timing data from online databases, including discogs. It handles DSD files. It also can do software RIAA equalization, which many people prefer to digital equilization. But that depends on your phono pre-amp setup.
Pro Tools is a good packaage, but it is a little overkill for just digitizing vinyl, in my opinion. You do not need all its effects and mixing capabilities. I would give Vinyl Studio a try before going to Pro Tools. Vinyl Studio is $29. Don't let the price fool you. It is a fine tool for digitizing vinyl.