The Fed is expected to move to wind down bond buying in the next couple of months, with some strategists putting odds on December, but more on January or even March.
Jeff Kleintop, chief market strategist at LPL Financial, expects the market to make out better next year, and he said stocks can deal with rising yields as long as the move higher isn't rapid. He expects more volatility in 2014 but also sees gains of 10 to 15 percent for the stock market, with a boost from earnings growth.
"The volatility will come from growth scares," said Kleintop, explaining that as the Fed tapers, investors will worry that the economy may not be strong enough to withstand it. As for this year, he expects the market to continue moving higher, adding to the already 26 percent gain in the S&P 500 year to date.
"I think we've got a few more percent to go. I don't think it's huge but I think we could get closer to 30 percent on the year," said Kleintop. "It may be with some ups and downs, but by and large, it's going to be a very low volatility climb to new highs."
Kleintop expects to see retail sales come in above forecast for the holiday season. "I think we're going to come in better than that and consumer discretionary stocks are going to lead us to the highs," he said.
Stuart Freeman, chief equity strategist at Wells Fargo Advisors, does not expect further gains this year. While he sees stocks rising next year—to between 1,850 and 1900—he does not expect much more this year.
"I personally think we're a little ahead of ourselves," he said. "It's going to depend on the data we see in December, but I think the fact we've had such a good year offsets that. Net net, I think we could be not far from here in six weeks from now."
(Read more: Bubble? What bubble? It's hard to find one yet)
Freeman expects the market will muddle through as the economy gets better.
"We think next year is going to be modest returns with more volatility," he said. The market should be helped by the fact that Fed Vice Chair Janet Yellen has made it clear the Fed will be there for the economy and keep stimulus going as long as it is needed even if it begins to taper bond buying, he added.
The Fed's message has repeatedly been that it will keep short-term rates low even as it withdraws from its quantitative easing program and that the assets on its balance sheet will continue to keep long-end rates low.
"I think jobs get better," Freeman said. "I think consumer confidence lifts a little bit. More people will be touched by the growth we're getting. I think investor confidence has gotten better. We're not looking at euphoric behavior by any means. It doesn't look toppy for that reason."
Stocks closed out the past week at new highs for the Dow and S&P 500. The Dow closed above 16,000 for the first time Thursday, and the S&P 500 finished above 1,800 for the first time Friday. The Nasdaq is closing in on a big round number of its own—4,000, a level it hasn't reached in 13 years.
The Dow finished up 0.7 percent in the past week at 16,064, its seventh week of gains. The S&P ended the week up 0.4 percent at its highs—1,804, a positive sign for the coming week.
Gold was one market to watch in the past week, as it reacted violently to the idea of the Fed tapering its bond buying. Gold settled Friday at $1,244.10, after losing 3.7 percent in its worst weekly decline in more than two months. Strategists say it is technically weak and could fall further.
(Read more: Boom times? Job openings, hiring rise)
Oil ended higher on the week, with West Texas Intermediate futures up 1.1 percent to $94.84. Brent was also higher on the week, up 2.4 percent to $111.05. Traders are watching talks in Geneva on Iran's nuclear program, said to be making progress. A resolution of negotiations between Iran and six nations could lead to a deal that would return Iranian crude to the market, bearish for oil prices.
Earnings: Seadrill, Nuance Comm, Palo Alto Networks, 21Vianet
8:58 a.m. Markit services PMI
10:00 a.m. Pending home sales
Earnings: Hewlett-Packard, Tiffany, Chico's FAS, Signet Jewelers, Eaton Vance, Hormel, Tivo, Barnes and Noble, Analog Devices
9:00 a.m. S&P/Case-Shiller home prices
9:00 a.m. FHFA home prices
10:00 a.m. Consumer confidence
8:30 a.m. Initial claims
8:30 a.m. Durable goods
8:30 a.m. Personal income
9:45 a.m. Chicago PMI
9:55 a.m. Consumer sentiment
10:00 a.m. New home sales
U.S. markets closed
—By CNBC's Patti Domm. Follow here on Twitter @pattidomm.