Barring transfer mistakes or an act of God, you own at least one or two Spurs players and will surely captain them this week. Therefore, in the interest of time I am going to skip over the other candidates and focus on Redknapp's big three:
Gareth Bale - leads the trio in points to date but has suffered badly from inconsistency with too many two or three pointers so far this year (9). However, his last four home games have given him 4-13-11-14 points which more than hints at the upside the young Welshman brings. His 40 shots ranks 3rd among all midfielders (Dempsey and Sinclair) and his 44 key passes can only be topped by Mata (45). Both opponents have tightened up of late but the likes of Tony Hibbert haven't faced anyone of Bale's quality for a while. His threat from set pieces is limited but his style of play tends to lend itself to bonus points so if he scores, he is likely to rack up 2 or 3 bonus points too.
Summary: Rarely rested, high upside but a boom/bust prospect.
Rafael van der Vaart - appears to have lost penalty duties to Adebayor but remains a threat from corners and free kicks. His 26 shots on target are only topped by Dempsey but he lacks the assist threat of Bale and has only delivered 3 so far this year. His fitness is a concern as even when he's been able to stay fit, he is often pulled off after 60 minutes, losing out on the junk time when fantasy points are padded. His seven games with 3 points or less compare favourably to Bale, but he's only enjoyed one double digit gameweek since GW10 and thus his upside is also lower.
Summary: set piece duties make him a touch safer but fitness concerns and lower upside hurt his value.
Emmanuel Adebayor - since his first start in GW4 Adebayor has missed just 9 minutes of action. In those 16 gameweeks he's failed to top two points just four times yet has shown his upside with three double digit gameweeks of his own. Can contribute assists along with goals which separates him from many of his similarly priced peers. His nine goals exceeds the above pair, but that advantage is all but eliminated when you consider the fewer points he earns as a forward. With less points per goal and fewer big games, Ade's upside might not measure up to Bale but he brings a winning combination of consistency with big score potential and is thus a great play for the week.
Summary: lowest downside, good upside and rarely, if ever, being rested makes Ade a great pick.
While I like the Everton defense for the week and would of course start any of their outfielders I owned, I would not recommend captaining any Everton player of the above Spurs trio this week.