The primary canon source for this is the Tale of Years, published in Return of the King, Appendix A. From here we can mostly reconstruct the movements of the Nazgul from the overthrow of Sauron at the end of the Second Age through to Sauron declaring himself openly towards the end of the Third Age, and everything in the Wiki article can be traced back to here.
First of all, and following the overthrow of Sauron in Second Age 3441, we read:
Sauron overthrown by Elendil and Gil-galad, who perish. Isildur takes the One Ring. Sauron passes away and the Ringwraiths go into the shadows. The Second Age ends.
Tolkien never defines exactly what he means by "go into the shadows" here, so we must interpret that for ourselves; it's enough to understand that they became inactive at this time.
The next mention of the Nazgul is in the entry for Third Age 1100 (all future entries are Third Age so I'll omit the qualifier) where we read:
The Wise (the Istari and the chief Eldar) discover that an evil power has made a stronghold at Dol Guldur. It is thought to be one of the Nazgûl.
Again, it's evident from this that the Wise were aware that the Nazgul weren't destroyed, and had reason to suspect that one was at Dol Guldur, but they still haven't reappeared and that doesn't happen until we reach the entry for 1300:
Evil things begin to multiply again. Orcs increase in the Misty Mountains and attack the Dwarves. The Nazgûl reappear. The chief of these comes north to Angmar. The Periannath migrate westward; many settle at Bree.
Here we have the foundation of Angmar and the movement of the chief Nazgul (who will shortly become the Witch-king of Angmar) is accounted for, but Tolkien doesn't say what happens to the other eight just yet. This doesn't happen until 1980 where we read:
The Witch-king comes to Mordor and there gathers the Nazgûl. A Balrog appears in Moria, and slays Durin VI.
The next event is the taking of Minas Ithil in the entries for 2000 and 2002:
The Nazgûl issue from Mordor and besiege Minas Ithil.
Fall of Minas Ithil, afterwards known as Minas Morgul. The palantír is captured.
Following this we see the following noted for 2063:
The Nazgûl remain quiet in Minas Morgul.
From here onwards the Nazgul do nothing until Sauron's open declaration in 2951.
This therefore establishes the following timeline of the Nazgul's activity:
- From SA 3441 to TA 1300, when they had gone "into the shadows".
- From TA 1300 to TA 1980, where it is stated that they had reappeared, but only the Witch-king's movements are accounted for.
- From TA 1980 to TA 2063, when they were active in Gondor and Minas Ithil/Morgul.
- From TA 2063 to TA 2951, when they are inactive in Minas Morgul.
- From TA 2951 onwards when they became active again.
There's no record that I'm aware of during the inactive periods, so we can't say anything more.