"Just as significantly, they will save money over time in maintenance and running costs."
Councillors agreed that Levenshulme Baths would stay open until money could be found to build a replacement following complaints from members of the public.
"If it wasn't for community rallying behind the baths then I think Labour would have gone ahead and closed the baths and I'll be seeking assurances the baths won't close before the new facilities are ready.
There is currently no timescale for the completion of the projects but the management contract for the council's leisure facilities is up for renewal in 2014.
The new centre would replace the Baths and the area's historic 'Carnegie Library'.
No funding has yet been found for the project but town hall bosses hope to borrow money for both schemes against the Nike Sweater Fleece
Up to 2.4m from the sale of land and financial contributions from the developer could help fund it. Chorlton councillor Victor Chamberlain said: "I think the proposals should be warmly welcomed and are long overdue.
"I do have concerns as to where a new centre may be built and whether this would exacerbate parking problems, and also that the use of green initiatives and energy efficiency has not been explored in the report but I will seek to raise these issues as the plans move forward."
Town hall bosses want to replace outdated pools, which were both built in the early 1930s, with new state of the art leisure centres in Levenshulme and Chorlton.
boost to bring two new swimming pools to south Manchester
The Chorlton centre is expected to cost 5.7m and would save the council more than 190,000 a year in running costs.
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"The Baths mean so much to local residents, I learnt to swim there myself and I know how important it is for people to have these leisure facilities available to them."
Opposition and Liberal Democrat leader Coun Marc Ramsbottom said: "We welcome the long overdue investment in new facilities, but we will be seeking guarantees that existing facilities will not close unless the new centres are ready and open for use by the local community."
Two new swimming pools are to be built in south Manchester under 12m plans to boost leisure facilities in the area.
"The current facilities are very popular but are outdated and Chorlton's residents deserve more.
innovative proposals will mean state of the art leisure and library facilities for residents of the Levenshulme and Chorlton areas.
"Likewise, Chorlton Library is the most popular in the city but the facilities are not fit for purpose. If you look at the impact Longsight Library has had you can see the benefits of more modern facilities and these reflect what the community needs.
future savings they will bring.
The closure of Levenshulme pool was announced last February as part of the council's programme of spending cuts, following a 21 per cent reduction in its grant money from central government.
Despite facing huge cuts from central government, the town hall believes it can find the cash to fund the schemes and that replacing existing run down facilities will save money in the long term.
Levenshulme councillor and Lib Dem spokesman for Communities and Neighbourhoods Scrutiny committee Coun James Hennigan said: "These proposals are a step towards a new pool for Levenshulme residents, however when Labour proposed closing the baths I and others stood up with local residents and nearly 4,000 signatures were collected opposing the closure.
Coun Mike Amesbury, Manchester's executive member for culture and leisure, said: "These Nike Tech Fleece Jogger Green
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